230409360 has 300 divisors, whose sum is σ = 849241404. Its totient is φ = 57853440.

The previous prime is 230409307. The next prime is 230409401. The reversal of 230409360 is 63904032.

230409360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150700176 + 79709184 = 12276^2 + 8928^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6227262 + ... + 6227298.

Almost surely, 2^230409360 is an apocalyptic number.

230409360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424620702).

230409360 is an abundant number, since it is smaller than the sum of its proper divisors (618832044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230409360 is a wasteful number, since it uses less digits than its factorization.

230409360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230409360 is about 15179.2410877488. The cubic root of 230409360 is about 613.0558474879.

It can be divided in two parts, 23040 and 9360, that added together give a square (32400 = 180²).

The spelling of 230409360 in words is "two hundred thirty million, four hundred nine thousand, three hundred sixty".